eBook ISBN:  9780821878408 
Product Code:  CONM/250.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878408 
Product Code:  CONM/250.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 250; 1999; 136 ppMSC: Primary 20; Secondary 68; 52; 57
This volume contains the proceedings of the AMSIMSSIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory.
The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.
ReadershipGraduate students and research mathematicians interested in geometric group theory; theoretical computer scientists.

Table of Contents

Articles

Gilbert Baumslag, Alexei G. Myasnikov and Vladimir Shpilrain — Open problems in combinatorial group theory [ MR 1732205 ]

Danièl Beauquier, David E. Muller and Paul E. Schupp — The bar problem—a simple tiling problem which is $\rm NP$complete on the Euclidean tessellation by squares but which is polynomial time on the hyperbolic tessellations by $4g$gons, $g\geq 2$ [ MR 1732206 ]

Debra L. Boutin — When are centralizers of finite subgroups of ${\rm Out}(F_n)$ finite? [ MR 1732207 ]

Zeph Grunschlag — Computing angles in hyperbolic groups [ MR 1732208 ]

Olivier Ly — On effective decidability of the homeomorphism problem for noncompact surfaces [ MR 1732209 ]

Charles F. Miller, III and Paul E. Schupp — Some presentations of the trivial group [ MR 1732210 ]

Sarah Rees — A language theoretic analysis of combings [ MR 1732211 ]


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This volume contains the proceedings of the AMSIMSSIAM Joint Summer Research Conference on Geometric Group Theory and Computer Science held at Mount Holyoke College (South Hadley, MA). The conference was devoted to computational aspects of geometric group theory, a relatively young area of research which has grown out of an influx of ideas from topology and computer science into combinatorial group theory.
The book reflects recent progress in this interesting new field. Included are articles about insights from computer experiments, applications of formal language theory, decision problems, and complexity problems. There is also a survey of open questions in combinatorial group theory. The volume will interest group theorists, topologists, and experts in automata and language theory.
Graduate students and research mathematicians interested in geometric group theory; theoretical computer scientists.

Articles

Gilbert Baumslag, Alexei G. Myasnikov and Vladimir Shpilrain — Open problems in combinatorial group theory [ MR 1732205 ]

Danièl Beauquier, David E. Muller and Paul E. Schupp — The bar problem—a simple tiling problem which is $\rm NP$complete on the Euclidean tessellation by squares but which is polynomial time on the hyperbolic tessellations by $4g$gons, $g\geq 2$ [ MR 1732206 ]

Debra L. Boutin — When are centralizers of finite subgroups of ${\rm Out}(F_n)$ finite? [ MR 1732207 ]

Zeph Grunschlag — Computing angles in hyperbolic groups [ MR 1732208 ]

Olivier Ly — On effective decidability of the homeomorphism problem for noncompact surfaces [ MR 1732209 ]

Charles F. Miller, III and Paul E. Schupp — Some presentations of the trivial group [ MR 1732210 ]

Sarah Rees — A language theoretic analysis of combings [ MR 1732211 ]